A
stringlengths 4
41
| B
stringlengths 4
41
| E
int64 0
1
| H1
int64 0
1
| H2
int64 0
1
| H3
int64 0
1
| label
stringclasses 2
values |
---|---|---|---|---|---|---|
~(((c&c)|c)) | (c&((c>(c&~(c)))>c)) | 0 | 0 | 1 | 0 | not entailment |
~((c|c)) | ~(((c|c)|(c&c))) | 1 | 0 | 1 | 1 | entailment |
(c|c) | ((~(c)>c)&((c&c)&c)) | 1 | 0 | 1 | 1 | entailment |
~((c|c)) | ((~(c)>c)&((c&c)&c)) | 0 | 0 | 1 | 0 | not entailment |
(c|c) | ~(((c|c)|(c&c))) | 0 | 0 | 1 | 0 | not entailment |
~((((c>c)>c)|((c&~(c))|~((c>c))))) | ~((c|c)) | 1 | 1 | 1 | 1 | entailment |
~(((c|c)>(~(c)&c))) | ((c&c)|c) | 1 | 1 | 1 | 1 | entailment |
~((((c>c)>c)|((c&~(c))|~((c>c))))) | ((c&c)|c) | 0 | 1 | 1 | 1 | not entailment |
~(((c|c)>(~(c)&c))) | ~((c|c)) | 0 | 1 | 1 | 1 | not entailment |
~(~(~(c))) | ~((((c>c)|c)>c)) | 1 | 0 | 1 | 0 | entailment |
(c|(c&c)) | ((((c>c)>c)|~(c))&(c&(c|c))) | 1 | 0 | 1 | 0 | entailment |
~(~(~(c))) | ((((c>c)>c)|~(c))&(c&(c|c))) | 0 | 0 | 1 | 0 | not entailment |
(c|(c&c)) | ~((((c>c)|c)>c)) | 0 | 0 | 1 | 0 | not entailment |
(~(c)&(c>(c|(c>c)))) | ~((c|(c|c))) | 1 | 1 | 1 | 1 | entailment |
(c&((~(c)>c)|~(~((((c>c)|c)&~(c)))))) | (~((c|(c|c)))>(c|((c|c)|c))) | 1 | 1 | 1 | 1 | entailment |
(~(c)&(c>(c|(c>c)))) | (~((c|(c|c)))>(c|((c|c)|c))) | 0 | 0 | 1 | 1 | not entailment |
(c&((~(c)>c)|~(~((((c>c)|c)&~(c)))))) | ~((c|(c|c))) | 0 | 1 | 1 | 1 | not entailment |
(~(i)&b) | ~(~(~(~(b)))) | 1 | 0 | 1 | 1 | entailment |
(~((b&e))&(~((y&(e|y)))&(d>(y>i)))) | (~((y>(r&(p|b))))>~((b&(~(l)&y)))) | 1 | 1 | 0 | 0 | entailment |
(~(i)&b) | (~((y>(r&(p|b))))>~((b&(~(l)&y)))) | 0 | 0 | 0 | 0 | not entailment |
(~((b&e))&(~((y&(e|y)))&(d>(y>i)))) | ~(~(~(~(b)))) | 0 | 1 | 1 | 0 | not entailment |
~((b>(~(i)>l))) | (y|((~(e)>e)|~((l&k)))) | 1 | 0 | 0 | 0 | entailment |
((r>p)>(k&r)) | ((((b|l)|(~(r)|e))>(l|r))|(y|(e&l))) | 1 | 0 | 0 | 0 | entailment |
~((b>(~(i)>l))) | ((((b|l)|(~(r)|e))>(l|r))|(y|(e&l))) | 0 | 0 | 0 | 0 | not entailment |
((r>p)>(k&r)) | (y|((~(e)>e)|~((l&k)))) | 0 | 0 | 0 | 0 | not entailment |
(~((r|l))&k) | (r>~(~((l|i)))) | 1 | 0 | 0 | 0 | entailment |
(((e|b)&(e&(k&b)))&(i>k)) | (y|(~(((i>((d|(e|d))>b))|l))>b)) | 1 | 0 | 0 | 0 | entailment |
(~((r|l))&k) | (y|(~(((i>((d|(e|d))>b))|l))>b)) | 0 | 0 | 0 | 0 | not entailment |
(((e|b)&(e&(k&b)))&(i>k)) | (r>~(~((l|i)))) | 0 | 1 | 0 | 0 | not entailment |
((r|~(((i>i)|(~(l)>b))))&(~(~(l))>e)) | (l>e) | 1 | 1 | 1 | 1 | entailment |
(~((b&y))&b) | (b|~((d|~(~(~(l)))))) | 1 | 0 | 0 | 0 | entailment |
((r|~(((i>i)|(~(l)>b))))&(~(~(l))>e)) | (b|~((d|~(~(~(l)))))) | 0 | 1 | 0 | 0 | not entailment |
(~((b&y))&b) | (l>e) | 0 | 1 | 0 | 0 | not entailment |
~((l|(~(r)|(b|((((k&y)|r)&y)>~(r)))))) | (((((~(e)|b)|(y&(k>i)))>b)|~((r|i)))>y) | 1 | 1 | 0 | 0 | entailment |
(k&~((l>((l>d)|p)))) | (l&l) | 1 | 1 | 1 | 1 | entailment |
~((l|(~(r)|(b|((((k&y)|r)&y)>~(r)))))) | (l&l) | 0 | 1 | 1 | 0 | not entailment |
(k&~((l>((l>d)|p)))) | (((((~(e)|b)|(y&(k>i)))>b)|~((r|i)))>y) | 0 | 0 | 0 | 0 | not entailment |
(y&((i>(y>~((l&i))))&(r&b))) | (y|(((~(b)>y)>((r&k)|e))&~(b))) | 1 | 0 | 0 | 0 | entailment |
(l&r) | ((~(e)>(l|(k|i)))|e) | 1 | 0 | 0 | 0 | entailment |
(y&((i>(y>~((l&i))))&(r&b))) | ((~(e)>(l|(k|i)))|e) | 0 | 1 | 0 | 0 | not entailment |
(l&r) | (y|(((~(b)>y)>((r&k)|e))&~(b))) | 0 | 0 | 0 | 0 | not entailment |
(((r|(p&r))&(((r>y)>e)>p))&i) | ((~((d|p))|(r|r))>r) | 1 | 1 | 0 | 0 | entailment |
(b&(y&e)) | (~(((y&e)&l))>(b|(p>y))) | 1 | 0 | 0 | 0 | entailment |
(((r|(p&r))&(((r>y)>e)>p))&i) | (~(((y&e)&l))>(b|(p>y))) | 0 | 1 | 0 | 0 | not entailment |
(b&(y&e)) | ((~((d|p))|(r|r))>r) | 0 | 0 | 0 | 0 | not entailment |
((~(e)|(r>e))>(r&(l|p))) | (((~((l|p))&y)|(y&b))|(~(p)|r)) | 1 | 0 | 0 | 0 | entailment |
(d&(p|e)) | ((~(i)|(i>i))&(d|(~(l)>k))) | 1 | 0 | 0 | 0 | entailment |
((~(e)|(r>e))>(r&(l|p))) | ((~(i)|(i>i))&(d|(~(l)>k))) | 0 | 0 | 0 | 0 | not entailment |
(d&(p|e)) | (((~((l|p))&y)|(y&b))|(~(p)|r)) | 0 | 0 | 0 | 0 | not entailment |
((p|d)&(i&~(r))) | (~((~((~(~(p))|~(p)))|r))|p) | 1 | 0 | 1 | 0 | entailment |
(((k&((l>e)&(b|i)))|y)&(((y|r)>i)&r)) | (l>r) | 1 | 1 | 1 | 1 | entailment |
((p|d)&(i&~(r))) | (l>r) | 0 | 1 | 0 | 0 | not entailment |
(((k&((l>e)&(b|i)))|y)&(((y|r)>i)&r)) | (~((~((~(~(p))|~(p)))|r))|p) | 0 | 1 | 0 | 0 | not entailment |
(d&e) | (b>(e|l)) | 1 | 0 | 0 | 0 | entailment |
~((p|(d|~(((r|~(~(k)))|(l&~(k))))))) | (l|~((~(~(p))&(~(y)>(p&b))))) | 1 | 1 | 0 | 0 | entailment |
(d&e) | (l|~((~(~(p))&(~(y)>(p&b))))) | 0 | 0 | 0 | 0 | not entailment |
~((p|(d|~(((r|~(~(k)))|(l&~(k))))))) | (b>(e|l)) | 0 | 1 | 0 | 0 | not entailment |
~((k>(p|b))) | (((r|~((b>r)))&(e>y))>((y|l)>(p>r))) | 1 | 0 | 0 | 0 | entailment |
(b|~(~(d))) | ((b|i)|d) | 1 | 1 | 0 | 0 | entailment |
~((k>(p|b))) | ((b|i)|d) | 0 | 1 | 0 | 0 | not entailment |
(b|~(~(d))) | (((r|~((b>r)))&(e>y))>((y|l)>(p>r))) | 0 | 0 | 0 | 0 | not entailment |
~((((y>(e&l))>(b|(l|b)))|l)) | (y>(y&k)) | 1 | 1 | 0 | 0 | entailment |
(y&(((k&b)>k)&e)) | (((k&(d>r))&~(r))|(y|~((k&~(~(e)))))) | 1 | 0 | 0 | 0 | entailment |
~((((y>(e&l))>(b|(l|b)))|l)) | (((k&(d>r))&~(r))|(y|~((k&~(~(e)))))) | 0 | 0 | 0 | 0 | not entailment |
(y&(((k&b)>k)&e)) | (y>(y&k)) | 0 | 1 | 1 | 0 | not entailment |
~(((l&e)>~((y>~(l))))) | ((d|(((k&r)&d)>d))>(((e&d)>l)|(y&d))) | 1 | 0 | 0 | 0 | entailment |
((l|r)>~(e)) | (b>((e>~(l))|~((r&(((y|k)|p)|(r>k)))))) | 1 | 0 | 0 | 0 | entailment |
~(((l&e)>~((y>~(l))))) | (b>((e>~(l))|~((r&(((y|k)|p)|(r>k)))))) | 0 | 0 | 0 | 0 | not entailment |
((l|r)>~(e)) | ((d|(((k&r)&d)>d))>(((e&d)>l)|(y&d))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(d)&b)>k)) | (~(~(d))>p) | 1 | 1 | 0 | 0 | entailment |
(((d&l)&(~(l)&r))|((r&(((b|i)|d)&k))&r)) | (p|(y|r)) | 1 | 1 | 0 | 0 | entailment |
~(((~(d)&b)>k)) | (p|(y|r)) | 0 | 1 | 0 | 0 | not entailment |
(((d&l)&(~(l)&r))|((r&(((b|i)|d)&k))&r)) | (~(~(d))>p) | 0 | 1 | 0 | 0 | not entailment |
~((((l|(d|d))|~(y))|~((r>((p&k)>r))))) | ((~(l)|(p&p))|p) | 1 | 1 | 1 | 0 | entailment |
((l&d)&~((b&p))) | (l&l) | 1 | 1 | 1 | 1 | entailment |
~((((l|(d|d))|~(y))|~((r>((p&k)>r))))) | (l&l) | 0 | 1 | 1 | 0 | not entailment |
((l&d)&~((b&p))) | ((~(l)|(p&p))|p) | 0 | 1 | 1 | 0 | not entailment |
((d&b)>~(~(~((k>r))))) | (~(r)|((p&(d&b))>(k|(i&(r|r))))) | 1 | 0 | 0 | 0 | entailment |
((d>b)&b) | (~(~(e))|b) | 1 | 0 | 0 | 0 | entailment |
((d&b)>~(~(~((k>r))))) | (~(~(e))|b) | 0 | 1 | 0 | 0 | not entailment |
((d>b)&b) | (~(r)|((p&(d&b))>(k|(i&(r|r))))) | 0 | 0 | 0 | 0 | not entailment |
~((y>((y>b)&r))) | ((y|e)|(d|(i|d))) | 1 | 1 | 0 | 0 | entailment |
~(~((l&(b|p)))) | (((e|i)&k)|((r|b)>l)) | 1 | 0 | 0 | 0 | entailment |
~((y>((y>b)&r))) | (((e|i)&k)|((r|b)>l)) | 0 | 0 | 0 | 0 | not entailment |
~(~((l&(b|p)))) | ((y|e)|(d|(i|d))) | 0 | 1 | 0 | 0 | not entailment |
((~(~(d))&k)|i) | ((d>(d&e))>((l|i)|k)) | 1 | 0 | 0 | 0 | entailment |
~(((~(e)>(i&(l&~(d))))>((r|(y&b))>p))) | (p>b) | 1 | 1 | 1 | 1 | entailment |
((~(~(d))&k)|i) | (p>b) | 0 | 1 | 0 | 0 | not entailment |
~(((~(e)>(i&(l&~(d))))>((r|(y&b))>p))) | ((d>(d&e))>((l|i)|k)) | 0 | 1 | 0 | 0 | not entailment |
(y&e) | ((((~(f)|l)>w)&~(e))>~((i|o))) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((i>r)|w)))) | ~(r) | 1 | 1 | 1 | 1 | entailment |
(y&e) | ~(r) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(((i>r)|w)))) | ((((~(f)|l)>w)&~(e))>~((i|o))) | 0 | 0 | 0 | 0 | not entailment |
~(((o&~(((~(e)&t)>g)))>((l>r)|(l>r)))) | ((w|i)>(~(~(l))|e)) | 1 | 1 | 0 | 0 | entailment |
((g|((g|w)>~((f|(r&i)))))&r) | (y|((e|(~(r)>i))|((i|w)&~(((y>e)|i))))) | 1 | 0 | 0 | 0 | entailment |
~(((o&~(((~(e)&t)>g)))>((l>r)|(l>r)))) | (y|((e|(~(r)>i))|((i|w)&~(((y>e)|i))))) | 0 | 1 | 0 | 0 | not entailment |
((g|((g|w)>~((f|(r&i)))))&r) | ((w|i)>(~(~(l))|e)) | 0 | 1 | 0 | 0 | not entailment |
~(((i>~(w))>((g&(e&t))>w))) | ((~((l|w))>o)|(r>e)) | 1 | 1 | 0 | 0 | entailment |
(~((f&i))&y) | (~(~(r))>(y|~(f))) | 1 | 0 | 0 | 0 | entailment |
~(((i>~(w))>((g&(e&t))>w))) | (~(~(r))>(y|~(f))) | 0 | 1 | 0 | 0 | not entailment |
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